75332680632 has 384 divisors, whose sum is σ = 243545702400. Its totient is φ = 20782137600.

The previous prime is 75332680627. The next prime is 75332680637. The reversal of 75332680632 is 23608623357.

75332680632 is a `hidden beast` number, since 7 + 5 + 3 + 3 + 2 + 6 + 8 + 0 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (75332680627) and next prime (75332680637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75332680637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77903013 + ... + 77903979.

It is an arithmetic number, because the mean of its divisors is an integer number (634233600).

Almost surely, 2^75332680632 is an apocalyptic number.

75332680632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75332680632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121772851200).

75332680632 is an abundant number, since it is smaller than the sum of its proper divisors (168213021768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75332680632 is a wasteful number, since it uses less digits than its factorization.

75332680632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 75332680632 in words is "seventy-five billion, three hundred thirty-two million, six hundred eighty thousand, six hundred thirty-two".